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Introduction to QCD slides - P.Hoyer.pdf - High Energy Physics Group

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Paul <strong>Hoyer</strong> Mugla 2010<br />

Origin of the pro<strong>to</strong>n mass<br />

The u, d quarks in the pro<strong>to</strong>n have small masses<br />

2mu + md<br />

mp<br />

�<br />

10 MeV<br />

938 MeV<br />

� 1%<br />

99% of the pro<strong>to</strong>n mass<br />

is due <strong>to</strong> interactions!<br />

1% is due <strong>to</strong> Higgs.<br />

⇒ Ultra-relativistic state<br />

Compare this with positronium (e + e – ), the lightest QED a<strong>to</strong>m:<br />

2me<br />

mpos<br />

� 100.00067%<br />

Binding energy is tiny wrt mc 2<br />

⇒ Nonrelativistic state<br />

The compatibility of the non-relativistic⎥p〉 = ⎥uud〉 quark model description<br />

of the pro<strong>to</strong>n with its ultra-relativistic par<strong>to</strong>n model picture remains a mystery<br />

– but a mystery that we can address within <strong>QCD</strong>.<br />

Both are supported by data: = ??<br />

⎥p〉<br />

uud<br />

30<br />

gluon<br />

q¯q

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